# Effective domain

- Written by B. Zabavsky
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Professor

Department of Algebra and Logic

Faculty of Mechanics and Mathematics

Ivan Franko National University of L'viv

Abstract:

**Theоrem.** *Effective Bezout domain is an elementary divisor ring*.

**Open problem.** *Is every a commutative Bezout domain effective domain?*

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### Latest from B. Zabavsky

- Prof. Zabavsky has finished his monograph. Contents
- Основи алгебраїчної К-теорії
- Questions related to the K-theoretical aspect of Bezout rings with various stable range conditions
- The connection of the prime spectrum geometry of a commutative Bezout domain and its stable range
- Diagonal reduction of matrices over finite stable range rings

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